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Sequences of information backflow in local dephasing channels with spectral gaps.

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Title: Sequences of information backflow in local dephasing channels with spectral gaps.
Authors: Giraldi, Filippo1,2 filgi@liberto.it
Source: International Journal of Quantum Information. Oct2017, Vol. 15 Issue 7, p1-20. 20p.
Subject Terms: *Quantum information theory, *Spectral sequences (Mathematics), *Data flow computing, *Infinity (Mathematics), *Markov spectrum
Abstract: The flow of quantum information in local dephasing channels is analyzed over short and long times in case the structured reservoir of frequency modes exhibits a spectral gap in the density of modes over low frequencies. The presence of the low-frequency gap with upper cut-off frequency ωg produces an infinite sequence of long-time intervals over which information backflow appears. Though generally irregular, the time intervals exhibit, under certain conditions, upper bounds: the nth episode of information backflow has already started at the instant π(2n π 1)=ωg, and already ended at the instant 2πn=ωg, for every n = 1; 2; . ... The intervals become regular over long times, tend to the asymptotic length π=ωg, as the supremum value, and are described analytically in terms of the structure of the spectral density near the upper cut-off frequency of the spectral gap. Consequently, engineering structured reservoirs of frequency modes with a spectral gap over low frequencies produces in local dephasing channels regular sequences of information backflow and recoherence over long times, along with non-Markovian evolution. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
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An: 127568915
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  Data: Sequences of information backflow in local dephasing channels with spectral gaps.
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  Data: <searchLink fieldCode="AR" term="%22Giraldi%2C+Filippo%22">Giraldi, Filippo</searchLink><relatesTo>1,2</relatesTo><i> filgi@liberto.it</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Quantum+Information%22">International Journal of Quantum Information</searchLink>. Oct2017, Vol. 15 Issue 7, p1-20. 20p.
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  Data: *<searchLink fieldCode="DE" term="%22Quantum+information+theory%22">Quantum information theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Data+flow+computing%22">Data flow computing</searchLink><br />*<searchLink fieldCode="DE" term="%22Infinity+%28Mathematics%29%22">Infinity (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Markov+spectrum%22">Markov spectrum</searchLink>
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  Label: Abstract
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  Data: The flow of quantum information in local dephasing channels is analyzed over short and long times in case the structured reservoir of frequency modes exhibits a spectral gap in the density of modes over low frequencies. The presence of the low-frequency gap with upper cut-off frequency ωg produces an infinite sequence of long-time intervals over which information backflow appears. Though generally irregular, the time intervals exhibit, under certain conditions, upper bounds: the nth episode of information backflow has already started at the instant π(2n π 1)=ωg, and already ended at the instant 2πn=ωg, for every n = 1; 2; . ... The intervals become regular over long times, tend to the asymptotic length π=ωg, as the supremum value, and are described analytically in terms of the structure of the spectral density near the upper cut-off frequency of the spectral gap. Consequently, engineering structured reservoirs of frequency modes with a spectral gap over low frequencies produces in local dephasing channels regular sequences of information backflow and recoherence over long times, along with non-Markovian evolution. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1142/S0219749917500502
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 20
        StartPage: 1
    Subjects:
      – SubjectFull: Quantum information theory
        Type: general
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
      – SubjectFull: Data flow computing
        Type: general
      – SubjectFull: Infinity (Mathematics)
        Type: general
      – SubjectFull: Markov spectrum
        Type: general
    Titles:
      – TitleFull: Sequences of information backflow in local dephasing channels with spectral gaps.
        Type: main
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          Name:
            NameFull: Giraldi, Filippo
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          Dates:
            – D: 01
              M: 10
              Text: Oct2017
              Type: published
              Y: 2017
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            – Type: issn-print
              Value: 02197499
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            – Type: volume
              Value: 15
            – Type: issue
              Value: 7
          Titles:
            – TitleFull: International Journal of Quantum Information
              Type: main
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